Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres-Reference-Cited by-同舟云学术

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Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres

Published:2019-01-01 Issue:1 Volume:6 Page:265-278
ISSN:2300-7443
Container-title:Complex Manifolds
language:
Short-container-title:

Author:

Miyaoka Reiko¹,Ohnita Yoshihiro²

Affiliation:

1. Mathematical Institute, Tohoku University, Sendai980-8578, Japan

2. Osaka City UniversityAdvanced Mathematical Institute, & Department of Mathematics, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka558-8585, Japan

Abstract

AbstractThe Gauss images of isoparametric hypersufaces of the standard sphere Sn+1 provide a rich class of compact minimal Lagrangian submanifolds embedded in the complex hyperquadric Qn(ℂ). This is a survey article based on our joint work [17] to study the Hamiltonian non-displaceability and related properties of such Lagrangian submanifolds.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/downloadpdf/journals/coma/6/1/article-p265.xml

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4. Oh cohomology of Lagrangian intersections and pseudo - holomorphic discs Pure Addendum;Floer;Appl Math,1993

5. minimality and stability of maps its;Palmer;Geom Appl,1997

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